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Super-resolution theory aims to estimate the discrete components lying in a continuous space that constitute a sparse signal with optimal precision. This work investigates the potential of recent super-resolution techniques for spectral…

Information Theory · Computer Science 2016-11-24 M. Ferreira Da Costa , W. Dai

Intelligent reflecting surfaces (IRS) have been proposed as a revolutionary technology owing to its capability of adaptively reconfiguring the propagation environment in a cost-effective and hardware-efficient fashion. While the application…

Signal Processing · Electrical Eng. & Systems 2022-01-25 Rang Liu , Ming Li , Qian Liu , A. Lee Swindlehurst , Qingqing Wu

The paper focuses on the sparse approximation of signals using overcomplete representations, such that it preserves the (prior) structure of multi-dimensional signals. The underlying optimization problem is tackled using a multi-dimensional…

Data Structures and Algorithms · Computer Science 2015-03-11 Yoann Isaac , Quentin Barthélemy , Jamal Atif , Cédric Gouy-Pailler , Michèle Sebag

We introduce and compare new compression approaches to obtain regularized solutions of large linear systems which are commonly encountered in large scale inverse problems. We first describe how to approximate matrix vector operations with a…

Numerical Analysis · Mathematics 2016-08-12 Sergey Voronin , Dylan Mikesell , Guust Nolet

We consider the problem of reconstructing time sequences of spatially sparse signals (with unknown and time-varying sparsity patterns) from a limited number of linear "incoherent" measurements, in real-time. The signals are sparse in some…

Information Theory · Computer Science 2016-11-17 Namrata Vaswani

Compressed sensing is a promising technique that attempts to faithfully recover sparse signal with as few linear and nonadaptive measurements as possible. Its performance is largely determined by the characteristic of sensing matrix.…

Information Theory · Computer Science 2013-10-03 Weizhi Lu , Weiyu Li , Kidiyo Kpalma , Joseph Ronsin

Increasing the imaging speed is a central aim in photoacoustic tomography. This issue is especially important in the case of sequential scanning approaches as applied for most existing optical detection schemes. In this work we address this…

Numerical Analysis · Mathematics 2016-11-23 Markus Haltmeier , Thomas Berer , Sunghwan Moon , Peter Burgholzer

In phase retrieval, the goal is to recover a complex signal from the magnitude of its linear measurements. While many well-known algorithms guarantee deterministic recovery of the unknown signal using i.i.d. random measurement matrices,…

Information Theory · Computer Science 2017-03-24 Boshra Rajaei , Sylvain Gigan , Florent Krzakala , Laurent Daudet

We investigate the problem of recovering a structured sparse signal from a linear observation model with an uncertain dynamic grid in the sensing matrix. The state-of-the-art expectation maximization based compressed sensing (EM-CS)…

Signal Processing · Electrical Eng. & Systems 2024-07-25 An Liu , Yufan Zhou , Wenkang Xu

Low-cost passive intelligent reflecting surfaces (IRSs) have recently been envisioned as a revolutionary technology capable of reconfiguring the wireless propagation environment through carefully tuning reflection elements. This paper…

Signal Processing · Electrical Eng. & Systems 2021-09-14 Zhangjie Peng , Zhenkun Zhang , Cunhua Pan , Li Li , A. Lee Swindlehurst

Image Super-Resolution (ISR) has seen significant progress with the introduction of remarkable generative models. However, challenges such as the trade-off issues between fidelity and realism, as well as computational complexity, have also…

Computer Vision and Pattern Recognition · Computer Science 2025-02-03 Yunpeng Qu , Kun Yuan , Jinhua Hao , Kai Zhao , Qizhi Xie , Ming Sun , Chao Zhou

Based on the Scale-Splitting (SCSP) iteration method presented by Hezari et al. in (A new iterative method for solving a class of complex symmetric system linear of equations, Numerical Algorithms 73 (2016) 927-955), we present a new…

Numerical Analysis · Mathematics 2017-10-09 Davod Khojasteh Salkuyeh

This paper studies the subspace segmentation problem which aims to segment data drawn from a union of multiple linear subspaces. Recent works by using sparse representation, low rank representation and their extensions attract much…

Computer Vision and Pattern Recognition · Computer Science 2014-04-29 Can-Yi Lu , Hai Min , Zhong-Qiu Zhao , Lin Zhu , De-Shuang Huang , Shuicheng Yan

Sparse hyperspectral unmixing from large spectral libraries has been considered to circumvent limitations of endmember extraction algorithms in many applications. This strategy often leads to ill-posed inverse problems, which can benefit…

Computer Vision and Pattern Recognition · Computer Science 2018-10-29 Ricardo Augusto Borsoi , Tales Imbiriba , José Carlos Moreira Bermudez , Cédric Richard

This paper introduces a new sparse spatio-temporal structured Gaussian process regression framework for online and offline Bayesian inference. This is the first framework that gives a time-evolving representation of the interdependencies…

Machine Learning · Statistics 2018-08-01 Danil Kuzin , Olga Isupova , Lyudmila Mihaylova

Gaussian Markov random fields (GMRFs) are useful in a broad range of applications. In this paper we tackle the problem of learning a sparse GMRF in a high-dimensional space. Our approach uses the l1-norm as a regularization on the inverse…

Machine Learning · Computer Science 2012-06-18 John Duchi , Stephen Gould , Daphne Koller

Compressive sensing claims that the sparse signals can be reconstructed exactly from many fewer measurements than traditionally believed necessary. One of issues ensuring the successful compressive sensing is to deal with the…

Information Theory · Computer Science 2009-03-31 Lianlin Li , Fang Li

We introduce a two step algorithm with theoretical guarantees to recover a jointly sparse and low-rank matrix from undersampled measurements of its columns. The algorithm first estimates the row subspace of the matrix using a set of common…

Machine Learning · Statistics 2015-06-03 Sampurna Biswas , Sunrita Poddar , Soura Dasgupta , Raghuraman Mudumbai , Mathews Jacob

Sliced inverse regression (SIR) is a popular sufficient dimension reduction method that identifies a few linear transformations of the covariates without losing regression information with the response. In high-dimensional settings, SIR can…

Methodology · Statistics 2025-12-04 Linh H. Nghiem , Francis. K. C. Hui , Samuel Muller , A. H. Welsh

The performance of machine learning and pattern recognition algorithms generally depends on data representation. That is why, much of the current effort in performing machine learning algorithms goes into the design of preprocessing…

Machine Learning · Computer Science 2025-10-28 Fadi Dornaika , Ahmad Khoder , Abdelmalik Moujahid , Wassim Khoder
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